{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "6e766327",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from scipy import stats\n",
    "from math import sqrt, log"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "061860d0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'Elapsed Time (min)')"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ys = [30]\n",
    "xs = range(0,501)\n",
    "np.random.seed(seed=42)\n",
    "for delta in np.random.normal(0,0.5,500):\n",
    "    ys.append(ys[-1] + delta)\n",
    "    \n",
    "plt.plot(ys)\n",
    "plt.ylabel('Stock Price ($)')\n",
    "plt.xlabel('Elapsed Time (min)')\n",
    "#plt.savefig('figures/1.01.svg')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
